A Note on Fractional KdV Hierarchies
solv-int
2009-10-30 v2 Exactly Solvable and Integrable Systems
Abstract
We introduce a hierarchy of mutually commuting dynamical systems on a finite number of Laurent series. This hierarchy can be seen as a prolongation of the KP hierarchy, or a ``reduction'' in which the space coordinate is identified with an arbitrarily chosen time of a bigger dynamical system. Fractional KdV hierarchies are gotten by means of further reductions, obtained by constraining the Laurent series. The case of sl(3)^2 and its bihamiltonian structure are discussed in detail.
Cite
@article{arxiv.solv-int/9606010,
title = {A Note on Fractional KdV Hierarchies},
author = {Paolo Casati and Gregorio Falqui and Franco Magri and Marco Pedroni},
journal= {arXiv preprint arXiv:solv-int/9606010},
year = {2009}
}
Comments
Final version to appear in J. Math. Phys. Some changes in the order of presentation, with more emphasis on the geometrical picture. One figure added (using epsf.sty). 30 pages, Latex